https://doi.org/10.1140/epjc/s10052-016-4359-3
Regular Article - Theoretical Physics
Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions
1
International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072B.P.50, Cotonou, Republic of Benin
2
Faculté des Sciences et Techniques, University of d’Abomey-Calavi, Cotonou, Benin
3
Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany
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Received:
2
May
2016
Accepted:
8
September
2016
Published online:
15
September
2016
Abstract
The Schrödinger equation of the spherically symmetrical quantum models such as the hydrogen atom problem seems to be analytically non-solvable in higher dimensions. When we try compactifying one or several dimensions this question can maybe solved. This paper presents a study of the spherically symmetrical quantum models on noncommutative spacetime with compactified extra dimensions. We provide analytically the resulting spectrum of the hydrogen atom and Yukawa problem in 
dimensional noncommutative spacetime in the first order approximation of the noncommutative parameter. The case of higher dimensions 
is also discussed.
© The Author(s), 2016
